Defect Induced Heavy Meson Dynamics in the QCD Conformal Window

TL;DR

This paper analyzes heavy meson spectra and wave functions within the QCD conformal window, using an adapted heavy quark effective theory to incorporate conformal and confining dynamics.

Contribution

It introduces a systematic approach to study heavy mesons in the conformal window, extending beyond the infinite mass approximation in conformal field theories.

Findings

Precise determination of heavy meson spectrum and wave functions.

Calculation of the conformal Isgur-Wise function.

Assessment of low energy confining effects on meson properties.

Abstract

Upon introducing an heavy quark in the perturbative regime of the QCD conformal window we precisely determine the associated heavy meson spectrum and wave functions in terms of the number of light flavours and mass. We then compute the conformal Isgur-Wise function which is a central quantity in heavy quark physics. We further determine the impact of the residual low energy confining dynamics on the heavy meson spectrum. As a working framework, we adapt the heavy quark effective theory to the perturbative conformal window dynamics. Our work lays the foundations to systematically go beyond the infinite mass defect approximation in conformal field theories.